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The area of a parallelogram as the magnitude of a cross product
Now, if we let n→=(a,b,c), n → = ( a , b , c ) , then since P0P−→− P 0 P → is perpendicular to n→, n → , we have
Vector addition for vectors at any angle | Adding vectors | How to add vectors
The three vectors spanning a parallelepiped have triple product equal to its volume.
Vector resolution equations used for vector addition of multiple vectors | More at plainphysics.com